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Finding the Fourth Proportional to 197.57, 296.35 and 143.80

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Solution

The fourth proportional to 197.57, 296.35 and 143.80 is: 215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 296.35 = 143.80 : x
  2. Step 2: Convert to fraction form
    197.57/296.35 = 143.80/x
  3. Step 3: Cross multiply
    197.57x = 296.35 × 143.80
  4. Step 4: Simplify right side
    197.57x = 42,614.03
  5. Step 5: Solve for x
    x = 42,614.03/197.57
  6. Step 6: Final answer
    x = 215.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.